Unformatted text preview: deﬁne matrix addition, multiplication, and scalar multiplication. Definition 1.1 . (i) Equality: Two matrix A = ( a ij ) and B = ( b ij ) are equal if corresponding elements are equal, i.e. a ij = b ij . (ii) Addition: If A = ( a ij ) and B = ( b ij ) and the sum of A and B is A + B = ( c ij ) = a ij + b ij . (iii) Scalar Product: If A = ( a ij ) is matrix and k is number(scalar), the kA = ( ka ij ) is product of k and A . From the above deﬁnition, we see that, to multiply a matrix by a number k , we simply multiply each of its entries by k ; to add two matrices we just add their corresponding entries; AB = A +(1) B . Example 1.1 . Let A = • 2 31 4 ‚...
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 Spring '11
 Dr.Han
 Linear Algebra, Addition, Multiplication, Vector Space

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